133835268096 has 336 divisors, whose sum is σ = 403235696448. Its totient is φ = 42732748800.

The previous prime is 133835268089. The next prime is 133835268113. The reversal of 133835268096 is 690862538331.

It is a happy number.

133835268096 is a `hidden beast` number, since 1 + 3 + 38 + 3 + 526 + 80 + 9 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 193683111 + ... + 193683801.

Almost surely, 2^133835268096 is an apocalyptic number.

133835268096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133835268096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201617848224).

133835268096 is an abundant number, since it is smaller than the sum of its proper divisors (269400428352).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

133835268096 is an equidigital number, since it uses as much as digits as its factorization.

133835268096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 831 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 133835268096 in words is "one hundred thirty-three billion, eight hundred thirty-five million, two hundred sixty-eight thousand, ninety-six".